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Common Core Standards
Volume
Grade:
8th Grade
Standard:
Math.8.G.9 or 8.G.C.9
Description:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Standard:
CC.2.3.8.A.1
Description:
Apply the concepts of volume of cylinders, cones, and spheres to solve real-world and mathematical problems.
Standard:
M08.C-G.3.1.1
Description:
Apply formulas for the volumes of cones, cylinders, and spheres to solve real-world and mathematical problems.
Start Practicing!
8th Grade Math - Volume Lesson
1 of 4 -
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Volume of Sphere
=
4
3
π
r
3
where
r
is the radius
Example:
First, use the formula for the volume of a sphere to find the radius.
Volume
=
4
3
π
r
3
113.04
cm
3
=
4
3
π
r
3
113.04
cm
3
=
4
3
(
3.14
)
r
3
113.04
cm
3
÷
3.14
=
4
3
(
3.14
)
r
3
÷
3.14
36
cm
3
=
4
3
r
3
36
cm
3
×
3
4
=
4
3
r
3
×
3
4
27
cm
3
=
r
3
3
cm
=
r
The radius is 3 centimeters. So, the diameter is 6 centimeters.
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